201021022011000 has 256 divisors, whose sum is σ = 632179314524160. Its totient is φ = 53178865689600.

The previous prime is 201021022010983. The next prime is 201021022011011. The reversal of 201021022011000 is 110220120102.

It is a super-3 number, since 3×201021022011000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8009750452 + ... + 8009775548.

It is an arithmetic number, because the mean of its divisors is an integer number (2469450447360).

Almost surely, 2^{201021022011000} is an apocalyptic number.

201021022011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021022011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316089657262080).

201021022011000 is an abundant number, since it is smaller than the sum of its proper divisors (431158292513160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201021022011000 is a wasteful number, since it uses less digits than its factorization.

201021022011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46271 (or 46257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201021022011000 its reverse (110220120102), we get a palindrome (201131242131102).

The spelling of 201021022011000 in words is "two hundred one trillion, twenty-one billion, twenty-two million, eleven thousand".